In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.​

Answers

Answer 1

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)


Related Questions


Help me this hard im stuck

Answers

Answer:

B, C

Step-by-step explanation:

A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?

Answers

The average speed in feet per hour will be;

⇒ 942.85 feet per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance = 22 inches

Time = 7 seconds

Now,

Since, A tortoise moves at a speed of 22 inches in 7 seconds.

Hence, Distance = 22/12 feet

And, Time = 7 / 3600

Thus, The average speed = (22/12) / (7/3600)

                                        = 22 × 3600 / 12 × 7

                                        = 942.85 feet per hour

Therefore, The average speed in feet per hour will be;

⇒ 942.85 feet per hour

Learn more about the mathematical expression visit:

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Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.

Answers

Answer:

[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]

what is 3/7-7/14 as a fraction

Answers

-1/14
hope this is helpful!

Answer:

-1/14or-0.07

Step-by-step explanation:

3/7-1/2=(2x3)/(2x7)-(7x1)/(7x2)=6/14-7/14=(6-7)/14=-1/14or0.07

please help me asapppp


ty :)

Answers

Answer:

C. 3

y = 3x - 4

Step-by-step explanation:

y = 3x - 2

Slope stays 3 because they are parallel.

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y - 5 + 5 = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

y= 3x-4

hopefully that is helpful

Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid. ​

Answers

Answer:

  126 cm^2

Step-by-step explanation:

The surface area of one cube face is (3 cm)^2 = 9 cm^2.

Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...

  (6·3 -4)·(9 cm^2) = 126 cm^2

Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.

Answers

Answer:

62.5%

Step-by-step explanation:

(56 - 62) / 4 = -1.5 z score = 0.0668

(64 - 62) / 4 = 0.5 z score = 0.6915

0.6915 - 0.0668 = 0.6247

Rounded this becomes 62.5%

The probability for the data value in between 56 and 64 is 62.5%.

What is z-score?

The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.

How to calculate z-score?

z-score can be calculated by the formula

z = (x - μ)/σ

where,

μ is the mean

σ is the standard deviation

x is the data point

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

According to the given question

Mean of a normal distribution, μ = 62

standard deviation of a normal distribution, σ = 4

Now for the data value 56, the z-score will be

z = (56 - 62) / 4 = -1.5 z score = 0.0668

So, the area under normal distribution curve z = -1.5

P(z = -1.5) = 0.0668

Similarly,

For the data value 64, the z-score will be

z-score  = (64 - 62) / 4 = 0.5

The area under normal distribution curve z = 0.5 is given by

P( z = 0.5) = 0.69

Therefore, the probability for the data value in between 56 and 64 is given by

0.6915 - 0.0668 = 0.6247 =  62.5%

Hence, the probability for the data value in between 56 and 64 is 62.5%.

Learn more about the z-score and probability here:

https://brainly.com/question/25638875

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Scientists say we should sleep 3/8 of a day.How about many hours is this

Answers

9 hours because 8 x 3 = 24 and 3 x 3 = 9

I will mark Brainliest if you help!!

Remainder of 52,259 divided by 215

Answers

Answer: 243, Reminder is 14

Step-by-step explanation:

52,259 / 215 = 243.065116

215 x 243 = 52,245

52,259 - 52,245 = 14

So the reminder is 14

Can someone please take the time out of they’re day and help me with this

Answers

Answer:

30 in

Step-by-step explanation:

18^2 + 24^2 = x^2

324 + 576 = x^2

900 = x^2

30 = x

Answer:

30 in

Step-by-step explanation:

With maths problems, first thing to do is to identify clearly the information that you have (from the question) and what you want to find;

Here, we have a right-angle triangle and given 2 of the sides, we are asked to find the other;

Considering this, if you've learnt it well and done plenty of practice, then you should realise pythagoras theorem can be applied to get the unknown side;

The square of the two given sides added will give the square of the unknown side:

(24)² + (18)² = x²

576 + 324 = x²

x² = 900

x = sqrt(900)

x = 30

Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.

Answers

The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.

We have to determine

Which expression finds the measure of an angle that is coterminal with a 45° angle?

According to the question,

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.

The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

A coterminal with 45° is 45°+k°360° with k as an integer.

Then,

The coterminal angle with 45°,

When k = 0

Then,

[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]

When k = 1

Then,

[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]

When k = -1

Then,

[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]

Hence, The measure of an angle that is coterminal with a 45A°+360A°.

For more details about the Coterminal angle refer to the link given below.

https://brainly.com/question/12378421

WILL GIVE BRAINIEST IF CORRECT

Answers

Jeff bought 1.5 pounds of pork.

1 pound of pork = 3.64
0.5 pounds of pork = 1.82 (divided 3.64 by 2 to find 0.5 pounds of pork)

3.64 + 1.82 = 5.46

Jeff also bought 2.5 pounds each of beer and chicken.

1 pound of beef = 5.99
2 pounds of beef = 11.98
0.5 pounds of beef = 2.995 (5.99 divided by 2)

11.98 + 2.995 = 14.975

1 pound of chicken = 4.79
2 pounds of chicken = 9.58
0.5 pounds of chicken = 2.395

9.58 + 2.395 = 11.975

Add up the total amount of the 1.5 pounds of pork and 2.5 pounds each of beef and chicken.

5.46 + 14.975 + 11.975 = $32.41

Answer:

$32.41

Step-by-step explanation:

Given that:

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5  3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5  5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5  4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

Simplify.

(–28xy) ÷ (–4)


−7xy

17ab

−17ab

7xy

Answers

If any doubt leave a comment

the forces opposing the expansion of the universe are due to

Answers

The forces opposing the expansion of the universe are due to the gravitation interaction.

Hope it helped.

Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.



Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)

Answers

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.


Given that f(x) = 10 - 3x and g(x) = x-3/2 find the value of fg(4)

Answers

Answer:

-1

Step-by-step explanation:

(fg)(x) is the product of f(x) and g(x).

We can find (fg)(4) by first finding f(4) and g(4) and then multiplying the results together:

f(x) = 10 - 3x, so f(4) = 10 - 3(4) = -2, and

g(x) = x - 3/2, so g(4) = 4 - 3/2 = 1/2

Then (fg)(4) = (-2)(1/2) = -1

How do you write an equation of a line given y-intercept -8 and slope 3/4

Answers

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4? (1 point)

Answers

Answer:

Using Descartes' Rule of Signs, we observe whether each consecutive term has a + or - sign:

f(x) = 3x4 − 5x3 − x2 − 8x + 4

Signs are: + - - - +

There are 2 sign changes (from +3 to -5, then from -8 to +4). This means that there are either 2 or 0 positive roots. (We take the number of sign changes, which is 2, and subtract by 2s to get all possible numbers of positive roots.)

For negative roots, we first invert all the odd-powered terms in f(x):

3x4 + 5x3 − x2 + 8x + 4

Signs are: + + - + +

There are 2 sign changes, from +5 to -1, and from -1 to +8. Therefore, there are either 2 or 0 negative roots.

Since the overall degree of f(x) is 4, the total number of roots must sum up to 4. There are either 2 or 0 positive roots, and 2 or 0 negative roots, and everything that remains will be a complex root. The possibilities are:

2 positive, 2 negative, 0 complex

2 positive, 0 negative, 2 complex

0 positive, 2 negative, 2 complex

0 positive, 0 negative, 4 complex.

Therefore we can have either 0, 2, or 4 complex roots.

The correct answer is the last choice.

what is 5.56 s divided by 6.42 S ​

Answers

Answer:

0.86

step by step explain:

first you want to get a calculator and you want to put in 5.56 divide 6.42

Answer:

= 0.866

Step-by-step explanation:

By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.

Then we have the equation: 556 ÷ 642 = 0.866

and therefore: 5.56 ÷ 6.42 = 0.866

both calculated to three decimal places.

Equation:

The actual equation is attached below as an attachment.

Message:

Hope this helps! I am not the best at math, so sorry if I got it wrong.

What two numbers multiplied together equal 8 but when added together equal -6

Answers

Answer:

i believe its -4 and -2

Step-by-step explanation:

hope tha work

Please help question in pic

Answers

Answer:  

O = (1,-1)

N = (1,-2)

M = (3,-2)

L = (3,-1)

Step-by-step explanation:

There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?

Answers

64 + 66 + 68 + 70

hope this helps!

jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?

Answers

45% of 95 is 42.75. So since they are 45% off subtract. Making the new pre tax cost of the shoes $52.25. 8% of 52.25 for the tax is $4.18. So for the total cost add 4.18+52.25. The total cost paid for the shoes should be $56.43

Write as a monomial in standard form
(3x*3y)\x*y

Answers

[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)

Answers

Answer:

  (-4, 0)

Step-by-step explanation:

The midpoint M of segment AB is found by averaging the coordinates of the end points:

  M = (A +B)/2

Solving this for point B, we find ...

  2M = A +B

  2M -A = B

Then the other end point is ...

  2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)

The other end point is (-4, 0).

Kieran buys a car for $8000 The following year he sells the car for $7500​

Answers

Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500

Loss :

= $ 8.000 – $7.500

= $ 500

then Loss is $500

#FromIndonesia

Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?​

Answers

Answer:

5 : 1

Step-by-step explanation:

Selling price = 37.90

Cost price = 7.58

Selling price : cost price = 37.90 : 7.58

When simplifying, we can first check if one number is a factor of the other:

7.58 * 3 = 22.74

7.58 * 4 = 30.32

7.58 * 5 = 37.9

Perfect. Therefore, selling price = 5 * cost price and selling price: cost price = 5:1

(2x²+6x-3)+(3x²-8x-6)​

Answers

[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]

Answer:

3x + 1

 ——————

   2x  

Step-by-step explanation:

https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/

it will give you the step by srep explaation

Confused on both 9 and 10 please help

Answers

9. 1 is the y-in and 5 is the slope.
10. I couldn’t see the side of this one but I hope 9 helped :)

If y is directly proportional to x and y is 12 when x = 10, what is y when x is 25?

Y = 25
Y = 30
Y = 20 5/6
Y = 26 1/5
None of the above

Answers

Answer:

Y= 30

Step-by-step explanation:

y=kx

when y=12, x=10

12=10k

k= 12/10

k = 6/5

when x= 25

y= 6/5 × 25

y= 30

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